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Finding the Third Proportional to 408,976 and 620,832

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Solution

The third proportional to 408,976 and 620,832 is: 942,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,976 : 620,832 = 620,832 : x
  2. Step 2: Convert to fraction form
    408,976/620,832 = 620,832/x
  3. Step 3: Cross multiply
    408,976x = 620,832 × 620,832
  4. Step 4: Simplify right side
    408,976x = 385,432,372,224
  5. Step 5: Solve for x
    x = 385,432,372,224/408,976
  6. Step 6: Final answer
    x = 942,432.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.